Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510n |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
23063040 |
Modular degree for the optimal curve |
Δ |
-4.661842978759E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-319952565,-2435385131019] |
[a1,a2,a3,a4,a6] |
Generators |
[32850:-4760109:1] |
Generators of the group modulo torsion |
j |
-861923363555648023441/110929177533556800 |
j-invariant |
L |
3.3149089745168 |
L(r)(E,1)/r! |
Ω |
0.017721011016884 |
Real period |
R |
1.0628462486908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170cc1 48510bx1 |
Quadratic twists by: -3 -7 |